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66050880 = 263579829
BaseRepresentation
bin1111101111110…
…1101101000000
311121021201202220
43323331231000
5113402112010
610315411040
71431265110
oct373755500
9147251686
1066050880
1134314005
121a153a80
13108b817c
148ab5040
155bea970
hex3efdb40

66050880 has 112 divisors (see below), whose sum is σ = 239694720. Its totient is φ = 15095808.

The previous prime is 66050849. The next prime is 66050891. The reversal of 66050880 is 8805066.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806 + ... + 11634.

Almost surely, 266050880 is an apocalyptic number.

66050880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119847360).

66050880 is an abundant number, since it is smaller than the sum of its proper divisors (173643840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66050880 is a wasteful number, since it uses less digits than its factorization.

66050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 66050880 is about 8127.1692488836. The cubic root of 66050880 is about 404.2278230103.

The spelling of 66050880 in words is "sixty-six million, fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 9829 19658 29487 39316 49145 58974 68803 78632 98290 117948 137606 147435 157264 196580 206409 235896 275212 294870 314528 344015 393160 412818 471792 550424 589740 629056 688030 786320 825636 943584 1032045 1100848 1179480 1376060 1572640 1651272 1887168 2064090 2201696 2358960 2752120 3145280 3302544 4128180 4403392 4717920 5504240 6605088 8256360 9435840 11008480 13210176 16512720 22016960 33025440 66050880